US8731185B2 - Single ended estimation of far-end crosstalk in a digital subscriber line - Google Patents
Single ended estimation of far-end crosstalk in a digital subscriber line Download PDFInfo
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- US8731185B2 US8731185B2 US13/505,285 US200913505285A US8731185B2 US 8731185 B2 US8731185 B2 US 8731185B2 US 200913505285 A US200913505285 A US 200913505285A US 8731185 B2 US8731185 B2 US 8731185B2
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- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04B3/00—Line transmission systems
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- H04B3/46—Monitoring; Testing
- H04B3/487—Testing crosstalk effects
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- the invention relates to single ended estimation of far-end crosstalk in a telecommunication line using digital subscriber line technology.
- far-end noise When determining downstream line capacity accurately in a DSL system, the so called far-end noise must be known, i.e. in this case the noise that would be experienced by a CPE connected to the line.
- far-end noise can be approximated by knowing the receiver noise (noise at the CPE) or similar prior knowledge. For example, a value of ⁇ 140 dBm/Hz is often used when assuming far-end noise for a DSL CPE.
- crosstalk interference
- the crosstalk typically comprises Far End Crosstalk (FEXT) and Near End Crosstalk (NEXT), where FEXT is interference between two adjacent lines, as measured at the end of the line furthest from the transmitter, and NEXT is interference between adjacent lines, as measured at the end of the line nearest to the transmitter. Since a transmitter or transceiver is arranged in each of the DSLAM and CPE, a respective NEXT and FEXT can be determined for each of the DSLAM and the CPE. Since most DSL technologies separate frequency bands for upstream and downstream communication, NEXT is usually not a problem while FEXT is a major cause of line capacity limitation.
- FEXT Far End Crosstalk
- NEXT Near End Crosstalk
- determining the FEXT is important when assessing the line capacity of a DSL line, and various techniques for determining FEXT exist, such as i) double-ended line test methods that measure noise at both sides, i.e. both upstream FEXT at the DSLAM and downstream FEXT at the CPE, ii) estimation methods for determining downstream FEXT from DSLAM NEXT, iii) methods for interpolation/extrapolation of measured FEXT couplings to other frequencies and to the opposite transmission direction using reciprocity, iv) methods using extrapolation of measured FEXT level to higher frequencies in the same transmission direction as for the FEXT measurements, v) methods using an average upstream noise level as an estimate of the far-end noise level for all downstream frequencies, and vi) methods employing a 1% worst-case FEXT models, without any input regarding the current noise situation.
- double-ended line test methods that measure noise at both sides, i.e. both upstream FEXT at
- an apparatus for estimating far-end crosstalk (FEXT) for an end of a communication line furthest from a transceiver to which the communication line is connected.
- the apparatus is configured to: measure upstream noise at an upstream frequency, the upstream noise induced in the communication line due to the crosstalk; select a downstream frequency for which the far-end crosstalk is to be determined; and estimate the far-end crosstalk, as a function of the upstream noise, the upstream frequency and the downstream frequency.
- the apparatus can be a hardware component arranged in a central office (CO) of a Digital Subscriber Line (DSL) communication system, but can also be a Digital Subscriber Line Access Multiplexer (DSLAM) that might be arranged in a CO.
- the apparatus is configured to implement known protocols and standards within the field of DSL technology, and can e.g. include the same physical components as known DSLAM-units.
- the transceiver can then be a part of the CO or the DSLAM, and can be separated in a transmitter unit and a receiver unit. When relating the estimated FEXT to the DSLAM and in relation to transmission directions in the line, it can be said that the apparatus estimates downstream FEXT.
- a processor unit within the apparatus is configured to perform the measuring, selecting, determining and estimating as well as implementing other features described below.
- the communication line is typically a conventional cable of a telecommunication network where the far-end as seen from the transceiver of the apparatus, i.e. the end of the communication line furthest from the transceiver, may be connected to a conventional DSL modem.
- the measured upstream noise is typically so called quiet line noise, i.e. the transceiver does not send any signal via the line when measuring the noise.
- the apparatus may be configured to measure quiet line upstream noise at an upstream frequency, where the upstream noise is induced due to the crosstalk.
- the apparatus may typically include a receiver for this purpose.
- the measurement of noise may be referred to as a near-end measurement.
- the apparatus may be configured to determine the upstream power spectral density as a function of a set of upstream power spectral density-values used for upstream signal transmission over communication lines adjacent to the communication line.
- the upstream power spectral density can be determined as a mean value or any other weighted value of upstream power spectral densities of neighbouring lines which use the same frequency for upstream signal transmission.
- Obtaining upstream power spectral densities of neighbouring lines can be based on retrieving power spectral density-values from management data used for the operation of the apparatus, such as from ITU-T G.997.1, as described above.
- the apparatus may be configured to determine the second relationship on basis of a quotient of the downstream power transfer function and the upstream power transfer function.
- the apparatus may be configured to execute a single-ended line test (SELT) for determining each of the upstream power transfer function and the downstream power transfer function.
- SELT single-ended line test
- SELT would experience trouble in determining the upstream power transfer function and the downstream power transfer function, e.g. in the case when they are not equal, SELT will most likely give the average of g and h
- the apparatus may be configured to estimate a number of far-end crosstalk values on basis of upstream noise in the communication line measured for a set of different upstream frequency values. From this follows that the apparatus may be configured to measure a number of noise-values at (a same number of) different upstream frequencies, and then to determine FEXT for each pair of noise values and upstream frequency values. This is advantageous in that it facilitates determination of e.g. a weighted average FEXT that more accurately reflects the actual crosstalk in the line.
- the previously described features of the apparatus may also be implemented in a CPE, which would correspond to an implementation as described above but with the difference of changing “downstream” to “upstream” and vice versa, such that the apparatus is the CPE which would then allow an end-user to estimate FEXT as experienced by the DSLAM.
- an apparatus in form of a CPE which is capable of estimating far-end crosstalk for an end of a communication line furthest from a transceiver in the CPE to which the communication line is connected.
- the CPE is configured to: i) measure downstream noise at a downstream frequency, the downstream noise induced in the communication line due to the crosstalk, ii) select an upstream frequency for which the far-end crosstalk is to be determined, and iii) estimate the far-end crosstalk, as a function of the downstream noise, the downstream frequency and the upstream frequency.
- the apparatus in form of the CPE may include any of the functionality of the apparatus in the form a DSLAM, by changing “upstream” to “downstream” and vice versa.
- the system is typically an access-node management system that can handle the operation and management of a number of access-nodes in form of e.g. DSLAM units.
- the measured upstream noise is typically measured by a DSLAM unit that sends the measured noise to the system.
- Other parameters, such as upstream and downstream frequencies and power spectral density-values can however be selected by the system.
- Other features (apart from the noise measurement per se) described above in connection with the apparatus can be performed by the system as well.
- the inventive method is typically performed by a DSLAM and may include any of the functionality implemented by the features described above in association with the inventive apparatus and shares the corresponding advantages.
- the method may include a number of steps corresponding to the above described configuration of the apparatus.
- the method can also be performed by the system described above, with the principal difference that the system does not have to perform the noise measurement but can instead receive the measured noise (from e.g. a DSLAM).
- the method as performed by the system can include corresponding features described in association with the method for the apparatus with the difference, when applicable, that the system can receive measurements from e.g. a DSLAM unit instead of performing the measurements.
- the method may comprise the steps of: determining a first relationship on basis on an upstream power spectral density and a downstream power spectral density, as a function of the upstream frequency and the downstream frequency; and estimating the far-end crosstalk as a function of the first relationship.
- the method may comprise the step of determining the first relationship on basis on a quotient of the downstream power spectral density and the upstream power spectral density.
- the method may comprise the step of determining the upstream power spectral density as a function of a set of upstream power spectral density-values used for upstream signal transmission over communication lines adjacent to the communication line.
- the method may comprise the step of determining the downstream power spectral density as a function of a set of downstream power spectral density-values used for downstream signal transmission over communication lines adjacent to the communication line.
- the method may comprise the step of determining each of the upstream power spectral density and the downstream power spectral density as a function of a respective predetermined spectral density-value.
- the method may comprise the steps of: determining a second relationship on basis on an upstream power transfer function and a downstream power transfer function of the communication line, as a function of the upstream frequency and the downstream frequency, and estimating the far-end crosstalk as a function of the second relationship.
- the method may comprise the step of determining the second relationship on basis of a quotient of the downstream power transfer function and the upstream power transfer function.
- the method may comprise the step of execute a single-ended line test for determining each of the upstream power transfer function and the downstream power transfer function.
- the method may comprise the step of determining each of the upstream power transfer function and the downstream power transfer function on basis of known properties of the communication line.
- the method may comprise the step of select the upstream frequency as a function of at least one frequency-value used for downstream signal transmission over at least one communication line adjacent the communication line. For example, this may mean that the upstream frequency can be selected to a frequency value not used for downstream signal transmission.
- the method may comprise the step of estimate a number of far-end crosstalk values on basis of upstream noise in the communication line measured for a set of different upstream frequency values.
- the method may comprise the step of determining an average far-end crosstalk value, as a function of the number of measured upstream noise values.
- the method may comprise the step of determining a far-end noise level, as a function of the estimated far-end crosstalk and a predetermined background noise-level.
- the end of the communication line furthest from the transceiver does not have to be connected to any customer premises equipment that communicates with the apparatus for estimating the far-end crosstalk.
- the method may comprise the step of measuring upstream noise by executing a quiet line noise measurement in the communication line.
- a method performed by the CPE which corresponds to the method that may be performed by the DSLAM.
- the method performed by the CPE may include any of the functionality of the method performed by the DSLAM, by changing “upstream” to “downstream” and vice versa.
- a computer-readable medium storing processing instructions that, when executed by a processor unit, performs any of the above described methods, including any variations thereof.
- FIG. 1 is a view of an embodiment of an apparatus for estimating far-end crosstalk, as connected to a number of customer premises equipments,
- FIG. 2 illustrates direct channels and FEXT couplings between communication lines of the apparatus of FIG. 1 , where g denotes upstream and h denotes downstream couplings,
- FIG. 3 is a diagram illustrating a small difference between a downstream power transfer function
- FIG. 4 is a diagram illustrating binder fill ratio calculated from an estimate of upstream FEXT coupling
- FIG. 5 is a diagram illustrating estimated and measured noise with 5 active crosstalkers
- FIG. 6 is a diagram illustrating estimated and measured noise with 9 active crosstalkers
- FIG. 7 is a flow diagram illustrating an embodiment of a method for estimating far-end crosstalk, performed by the apparatus of FIG. 1 ,
- FIG. 8 illustrates an embodiment of a system implementing the invention and arranged for managing a number of access nodes
- FIG. 9 is a flow diagram illustrating an embodiment of a method for estimating far-end crosstalk, performed by the system of FIG. 8 .
- the memory unit 18 also holds information about values for downstream power spectral density S DS (f d ) and upstream power spectral density S US (f u ) that may be used for transmission via the communication lines C 1 , C 2 , C n .
- the apparatus 10 has also a power transfer function module 16 for determining a downstream power transfer function
- each of the CPEs 11 - 1 , 11 - 2 , 11 - n has a respective transceiver 111 - 1 , 111 - 2 , 111 - n for establishing the connection with the apparatus 10 , such that upstream and downstream data transmission (signal exchange) may be realized between the apparatus 10 and the CP Es 11 - 1 , 11 - 2 , 11 - n.
- the first CPE 11 - 1 is illustrated with dashed lines since it is not needed when performing the method described below, i.e. in the example below, the apparatus 10 estimates far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) for an end C 1 - 2 of a the first communication line C 1 that does not have to be connected to a CPE.
- the apparatus 10 estimates far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) for an end C 1 - 2 of a the first communication line C 1 that does not have to be connected to a CPE.
- no CPE is connected to the communication line for which far-end crosstalk is to be determined.
- a conventional phone is often connected to the relevant end when the method is performed.
- the end C 1 - 2 is a so called far-end of the communication line C 1 as seen from the apparatus 10 , while the other end C 1 - 1 is the near-end of the communication line C 1 .
- far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) can be seen as found at the far-end C 1 - 2 while near-end crosstalk can be seen as found at the near-end C 1 - 1 .
- the CPEs 11 - 1 , 11 - 2 , 11 - n are typically DSL modems which together with the apparatus 10 in the form of a DSLAM are implemented in accordance with a known DSL-standard.
- a known DSL-standard includes e.g. all types of ADSL and VDSL standards, such as the ITU-T G.992.1, G.992.3, G.992.5, G.993.1, G.993.2-standards as well as similar future standards.
- Each transceiver 10 - 1 , 10 - 2 , 10 - n of the apparatus 10 are implemented such that they can measure so called quite line noise (QLN) over each of the communication lines C 1 , C 2 , C n , for example in accordance with the standard ITU-T G.996.2, also known as G.linetest, which describes how the QLN may be measured and reported.
- QLN quite line noise
- the processor unit 14 can comprise one or more data processors which each performs one or more of the operations of the apparatus 10 , and any of the transceivers 10 - 1 , 10 - 2 , 10 - n , 111 - 1 , 111 - 2 , 111 - n in the apparatus and in the CPEs can comprise a respective transmitter and receiver.
- Each of the communication lines C 1 , C 2 , C n typically comprises similar structures, e.g. in the form of unshielded, twisted pair of copper wires.
- direct channels (communication lines) and FEXT couplings between the communication lines C 1 , C 2 , C n of the apparatus 10 are illustrated, where g denotes upstream and h denotes downstream couplings.
- the apparatus 10 can perform a so called Single-Ended Line Test (SELT), which typically can include two types of measurements, where the first type is an echo measurement that can be used to e.g. estimate the communication line length and cable transfer function. Estimation of such parameters may be performed by using methods known within the field of DSL technology.
- the apparatus 10 can also perform a Quiet Line Noise (QLN) measurement, which measures the received signal (noise) at the near end C 1 - 1 when any transmitters (or transmitter part of a transceiver) connected to the line is silent.
- QLN Quiet Line Noise
- the apparatus 10 can estimate FEXT for e.g. line C 1 , which in the example also is referred to as line C i , by performing a near-end QLN measurement.
- line C 1 which in the example also is referred to as line C i
- line C i the terms “loop”, “pair” and “line” may be used interchangeably and corresponds to the communication lines of
- QLN Quiet Line Noise
- DS downstream
- US upstream
- f d the transmission frequency for downstream communication
- f u the transmission frequency for upstream communication
- QLN typically consists of FEXT, NEXT, and background noise. Background noise includes both thermal noise in the receiver and other noise sources (from electrical and electronic equipment).
- QLN (in dBm/Hz) per frequency f for line i can be written as:
- S DS,j (f d ) and S US,j (f u ) respectively denote the down- and upstream transmit PSDs on line j, while h i,j (f d ), g i,j (f u ) are the down- and upstream FEXT couplings as defined in FIG. 2 .
- the received NEXT PSDs may be written in a similar manner but are not shown here.
- QLN generally consists of FEXT, NEXT, and background noise.
- NEXT is usually much stronger than FEXT since it has travelled a much shorter distance in the line and is thus less attenuated, which makes it difficult to estimate FEXT in the presence of NEXT.
- transmit and receive bands also known as frequency division duplexing, FDD
- receive band noise will typically be dominated by FEXT while transmit band noise will be dominated by NEXT.
- QLN(f) as measured in e.g. a DSLAM's receive bands contains negligible amounts of NEXT. Measuring QLN in such bands will thus typically yield the sum of FEXT and background noise.
- FEXT is commonly significantly stronger than the background noise, meaning that a QLN measurement in a receive band will give a good estimate of the total FEXT level as given in expression (4). Exceptions to this may occur, e.g. for very short lines and very long lines where background noise may dominate.
- the present apparatus uses near-end noise measurements to estimate far-end noise levels.
- a typical use would be the DSLAM in the apparatus 10 measuring upstream noise and using said noise to estimate downstream noise at the CPE side (at the far end C 1 - 2 ).
- the aggregated (total) FEXT coupling from all other lines to line i, weighted by the transmit PSDs can be estimated by dividing the total received noise power from expression (1) by the average transmit PSD and utilizing expression (4), such that:
- S DS (f) and S US (f) are the average down- and upstream transmit PSDs
- 2 are the aggregated FEXT power transfer functions in down- and upstream
- ⁇ DS (f) and ⁇ US (f) are the estimation errors in down- and upstream caused by non-FEXT noise
- n is the number of active crosstalkers (neighbouring communications lines over which signals are transmitted). If FEXT is the dominating noise in the measured frequency bands, the estimation error will be small.
- individual transmit PSDs does not need to be known; knowing their average only is sufficient. A first approximation could be to use the maximum allowed PSD since it is common to operate DSL lines close to their maximum allowed limits.
- the present apparatus may be based on an assumption of approximate crosstalk symmetry between downstream and upstream. This differs from some prior art where the downstream FEXT is estimated from NEXT, FEXT reciprocity, and FEXT model extrapolation respectively.
- a sufficient but not necessary condition for said symmetry is that
- the aggregated crosstalk coupling may still fulfil the symmetry assumption with sufficient accuracy, i.e. that
- the crosstalk power transfer functions usually vary between different communication lines in a cable binder since the cables are not perfectly homogenous and symmetrical. It is often inevitable that for a multi-pair cable binder, some lines will be closer located to each other than other lines, thus leading to relatively higher crosstalk. It may therefore be difficult to define a model that describes the behaviour of each single crosstalk power transfer function in an accurate way. The most commonly used crosstalk models therefore describe the 1% worst case scenarios, which means that 99% of all lines should experience less crosstalk than what is predicted by the model.
- One example of such a crosstalk model is defined by the standardization sector of the International Telecommunication Union (ITU-T) with the purpose of providing a standardized set of testing procedures for DSL transceivers.
- ITU-T International Telecommunication Union
- the line length L i of the line C i can be used as an approximation for the coupling path length l. This approximation is used in the remaining part of this description.
- q n N - 1 where N is the number of communication lines in the binder.
- q could be any (rational) number between 0 and 1 representing the fraction of active crosstalk disturbers in the binder.
- the model will work sufficiently well for common binder sizes where the described apparatus 10 may be utilized.
- the step-by-step example on how to estimate far-end FEXT described below shows measurement results where the model is validated with good results for a 10-pair binder.
- the SELT echo measurement can provide estimations of both the line length and the upstream transfer function g i,i (f u ) of the line and hence the only unknown in expression (8) is the coupling constant k.
- the coupling coefficient may be calculated from expression (11) by e.g. setting ⁇ US (f u ) to zero. If noise is only measured on a single frequency, calculation of ⁇ circumflex over (k) ⁇ i is straightforward. If noise is measured on multiple frequencies, ⁇ circumflex over (k) ⁇ i can be calculated e.g. by averaging the right hand of expression (11), either in linear or logarithmic (dB) scale. Averaging expression (11) in linear power scale and assuming that the error term is zero thus yields
- f ⁇ is the set of (upstream) frequencies where noise is measured and ⁇ denotes the size of the set (number of measured frequencies).
- K ⁇ i 1 ⁇ ⁇ ⁇ ⁇ ⁇ f u ⁇ ⁇ ⁇ R US ⁇ ⁇ _ ⁇ ⁇ Noise , i ⁇ ( f u ) S _ US ⁇ ( f u ) ⁇ ⁇ g i , i ⁇ ( f u ) ⁇ 2 ⁇ f u 2 ( 13 )
- a further option that may yield higher accuracy, especially if the received background noise or the NEXT noise are not negligible compared with the received FEXT levels, is to use common optimization techniques such as linear least-squares optimization (as found in most linear algebra textbooks) by minimizing the mean squared difference between the upstream noise measurement and the noise model. This minimization is performed over the set of frequencies f u ⁇ where noise measurements are available.
- Such a least squares optimization problem can be employed for finding the coefficient vector x that minimizes the matrix norm of the difference between the measured upstream noise vector (denoted b) and the modelled upstream noise (matrix A times vector x), i.e. arg x min ⁇ Ax ⁇ b ⁇ .
- the modelled upstream noise can include more components: e.g. both the upstream FEXT model and a model for the remaining part of the noise.
- Including a suitable model for the background noise can improve the accuracy of the FEXT coupling coefficient.
- One example of such a model is that N US,i (f u ) is assumed to be frequency independent and can be replaced by an unknown constant N 0 . It is also possible to include a model for NEXT in order to improve FEXT estimation when non-negligible amounts of NEXT are present.
- matrix A is a square matrix with full rank
- the problem is trivially solved as a linear equation system.
- Minimization of the matrix norm of Ax ⁇ b when A has more rows than columns can be solved using the commonly available methods for solving over-determined equation systems, e.g.
- upstream background noise is modelled as constant over frequency (hence the column of ones).
- other models such as a first order polynomial of f u or a model of NEXT may be included.
- the column vector b contains the measured upstream noise per frequency in the set ⁇ .
- the result of solving the above expression (14) is a vector with the sought FEXT coupling coefficient ⁇ circumflex over (k) ⁇ i and a coefficient N 0 describing the upstream background noise level.
- the modified coupling constant has been used and which includes the line length L i . Since the coupling path length is expected to be similar for both up- and downstream, any errors caused by this assumption when estimating the coupling coefficient will in most cases be cancelled when calculating the downstream FEXT.
- the far-end FEXT from expression can be used directly as the total far-end noise level.
- the resulting far-end noise level may be too low in certain cases unless also the background noise level is taken into account.
- R ⁇ DS ⁇ ⁇ _ ⁇ ⁇ FEXT , i ⁇ ( f d ) R US ⁇ ⁇ _ ⁇ ⁇ Noise , i ⁇ ( f u ) ⁇ ⁇ S _ DS ⁇ ( f d ) S _ US ⁇ ( f u ) ⁇ ⁇ h i , i ⁇ ( f d ) ⁇ 2 ⁇ g i , i ⁇ ( f u ) ⁇ 2 ⁇ ( f d u ) 2 ( 17 )
- f u is the frequency in an upstream band and f d is the frequency in a downstream band.
- the coupling coefficient is not completely constant over frequency, which means that the above expression (17) can not be directly applied to handle the case when more than one upstream frequency is measured on.
- an alternative method to the model identification described earlier could be to take the average of expression (17) for the set of all measured upstream frequencies, f u ⁇ , in order to estimate the far-end FEXT level for each downstream frequency of interest:
- ⁇ denotes the number of measured upstream frequencies (size of the set ⁇ ).
- the above expression (18) is straightforward but has a tendency to put more weight on noise measured at low frequencies where FEXT levels are low and possibly less reliable, which may lead to a slightly reduced accuracy in comparison with the model identification method described earlier and given by expressions (14), (15).
- the expression (18) uses a number of measured upstream noise values for determining an average far-end crosstalk value.
- model identification approach in expressions (14), (15) may be preferred if higher accuracy is needed.
- a step-by-step example regarding using one embodiment of the apparatus 10 to calculate far-end noise from a near-end noise measurement can in brief include the following:
- Another step-by-step example on how to estimate far-end FEXT on frequency f d using near-end FEXT measurements on frequency f u using the expression (17) can include the following:
- a SELT test was first invoked on line 1.
- the DSLAM was capable of measuring noise PSD values from approximately 9 kHz-276 kHz
- the upstream QLN-results were deliberately limited to frequencies between 50 kHz and 120 kHz in order to avoid measurement errors due to receiver filter edges and NEXT. At those frequencies the measured noise should be dominated by FEXT from the far end to the near end.
- an echo measurement is also performed during the SELT test and this will give an estimation of both the line length L and the direct channel transfer function. All the variables in expression (13) is hence known and it is straightforward to calculate the modified coupling constant ⁇ circumflex over (K) ⁇ .
- a CPE was connected to the far end of pair 1.
- a Double Ended Line Test (DELT) was then used to measure the QLN at both ends of the cable.
- the DELT results and the estimated values of the noise are shown in the same graph in FIG. 5 and FIG. 6 for the two different experiments, where FIG. 5 illustrates the result when 5 crosstalkers are active, and FIG. 6 illustrates the result when 9 crosstalkers are active.
- FIG. 5 illustrates the result when 5 crosstalkers are active
- FIG. 6 illustrates the result when 9 crosstalkers are active.
- the estimation is very accurate when all 9 crosstalkers are active, while it is a bit too high for the case of 5 crosstalkers.
- crosstalkers This behaviour can however be expected since single crosstalk couplings have a high variation and the used model was developed from studies of the sum of many crosstalkers where the variance will decrease (law of large numbers). In a typical DSL environment it is also not common to have as few as only five disturbers (crosstalkers).
- the apparatus 10 implements a method for estimating far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) for the end C 1 - 2 of the communication line C 1 (C i ) furthest from a transceiver 10 - 1 to which the communication line C 1 is connected.
- the most general form of the method includes a number of steps S 1 -S 3 , where the first step S 1 comprises measuring upstream noise R US — Noise,i (f u ) at an upstream frequency f u , the upstream noise R US — Noise,i (f u ) being induced in the communication line C 1 due to the crosstalk from neighbouring communication lines.
- a downstream frequency f d is selected for which the far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) is to be determined.
- the downstream frequency f d is typically selected from a set of available frequencies that may be used for downstream communication with a CPE, where available frequencies are specified by standards within the field of data communication or specified by an operator (based on regulatory limitations) that will deliver a downstream service to a CPE.
- the far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) is estimated as a function of the upstream noise R US — Noise,i (f u ) the upstream frequency f u and the downstream frequency f d .
- the upstream noise R US — Noise,i (f u ) can be is determined as a function of the upstream frequency f u while the upstream frequency f u can be selected form a set of available frequency values, in a manner similar with the selection of the downstream frequency f d .
- the far-end crosstalk ⁇ circumflex over (R) ⁇ DS — FEXT,i (f d ) is determining by multiplying the upstream noise R US — Noise,i (f u ) with the quotient of the downstream frequency f d and the upstream frequency f u .
- Software instructions i.e. a computer program code for carrying out embodiments of the described method may for development convenience be written in a high-level programming language such as Java, C, and/or C++ but also in other programming languages, such as, but not limited to, interpreted languages.
- the software instructions can also be written in assembly language or even micro-code to enhance performance and/or memory usage.
- the functionality of any or all of the functional steps performed by the apparatus may also be implemented using discrete hardware components, one or more application specific integrated circuits, or a programmed digital signal processor or microcontroller.
- the computer-readable medium 18 can store processing (software) instructions that, when executed by e.g. the processor unit 14 , performs the method implemented in the apparatus 10 .
- the invention may be implemented as a system 30 which can manage sets of DSLAM units and CPEs, such as set 31 and set 32 .
- the sets can be similar and can each comprise a standard DSLAM unit 10 ′ to which a number of conventional CPEs 11 - 1 ′, 11 - 2 ′, 11 - 3 ′ are connected.
- the system 30 can be implemented as an O&M (operations and management) device which typically has the form of a workstation or similar computer.
- the system 30 has a processing unit 311 and a memory unit 312 which stores processing instructions that, when executed by the processor unit 311 , performs a method of estimating far-end crosstalk for one of the DSLAM units and a related CPE.
- the method performed by the system 30 corresponds to the method described above, with the difference that the measured noise is received by the system 30 after the relevant DSLAM has performed the measurement, as can be seen in FIG. 9 where the method is schematically illustrated.
- the invention may be implemented in e.g. already existing DSLAM units and O&M systems without requiring any introduction of new hardware components, as long as the relevant processing unit of the DSLAM/O&M system is configured to perform the described method.
- the invention may also be implemented in a CPE, which would correspond to an implementation as described above but with the difference of changing “downstream” to “upstream” and vice versa, such that the apparatus is the CPE which would then allow an end-user to estimate FEXT as experienced by the DSLAM.
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Abstract
Description
R DS
R US
R i,j(f)=S j(f)·|h i,j(f)|2 (3)
|H i(f d)|2 =|h i,i(f d)|2 ·k·l·p·f d 2
|G i(f u)|2 =|g i,i(f u)|2 ·k·l·p·f u 2 (8)
where N is the number of communication lines in the binder. In this case, q could be any (rational) number between 0 and 1 representing the fraction of active crosstalk disturbers in the binder. However, it should be noted that since the original model was developed from measurements on a 50-pair binder, it is not necessarily valid for other binder sizes. Still, the model will work sufficiently well for common binder sizes where the described
where T is the matrix transpose operator, “−1” means matrix inverse, and A is a two-column matrix with as many rows as the number of upstream frequencies in the set Θ. The first column of A consists of the upstream FEXT model per frequency fu and the second column is a vector of ones (1T).
containing another estimate of the modified coupling constant as in expression (13). This can be useful if the line length is not known, but if it is desired to estimate the background noise level, line length is still needed.
{circumflex over (R)} DS
{circumflex over (R)} DS
e.g. using SELT or some a priori knowledge regarding the used cables.
As stated earlier, one requirement for the described apparatus to work is approximate crosstalk symmetry i.e. |Hi(f)|2≈Gi(f)|2. Note that only the magnitude of the aggregated crosstalk power transfer function is relevant for the apparatus. The measured values for |Hi(f)|2 and |Gi(f)|2 are shown in
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EP2709345B1 (en) * | 2012-09-17 | 2015-02-25 | Alcatel Lucent | Method and device for identifying crosstalk |
US9148199B2 (en) * | 2013-04-01 | 2015-09-29 | Fluke Corporation | Prequalification of vectoring before implementation |
EP3020138B1 (en) * | 2013-04-23 | 2018-06-06 | Assia Spe, Llc | Methods systems, and apparatuses for implementing upstream power control for dsl |
TWI623212B (en) * | 2014-03-03 | 2018-05-01 | 領特公司 | Communication line simulation device and method for providing communication line simulation device |
US9985685B2 (en) * | 2014-09-26 | 2018-05-29 | Futurewei Technologies, Inc. | Power spectrum density optimization |
WO2016140600A1 (en) * | 2015-03-02 | 2016-09-09 | Telefonaktiebolaget Lm Ericsson (Publ) | Loopback testing in frequency division duplex systems |
US20160344445A1 (en) * | 2015-05-22 | 2016-11-24 | Qualcomm Incorporated | Coefficient determination for digital subscriber line vectoring |
CN106844850B (en) * | 2016-12-16 | 2020-02-18 | 南京航空航天大学 | Design method of eliminating circuit for far-end crosstalk noise |
CN107576933B (en) * | 2017-08-17 | 2020-10-30 | 电子科技大学 | Information source positioning method based on multi-dimensional fitting |
EP3691133B1 (en) * | 2019-01-29 | 2023-08-09 | ADTRAN GmbH | Crosstalk mitigation in the access network |
US11218189B1 (en) * | 2020-10-09 | 2022-01-04 | Viavi Solutions Inc. | Method and apparatus providing common path distortion (CPD) detection from a field instrument |
CN114446414B (en) * | 2022-01-24 | 2023-05-23 | 电子科技大学 | Reverse synthetic analysis method based on quantum circulation neural network |
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